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Finding the Fourth Proportional to 4,137.97, 6,191.45 and 2,465.97

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Solution

The fourth proportional to 4,137.97, 6,191.45 and 2,465.97 is: 3,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.97 : 6,191.45 = 2,465.97 : x
  2. Step 2: Convert to fraction form
    4,137.97/6,191.45 = 2,465.97/x
  3. Step 3: Cross multiply
    4,137.97x = 6,191.45 × 2,465.97
  4. Step 4: Simplify right side
    4,137.97x = 15,267,929.96
  5. Step 5: Solve for x
    x = 15,267,929.96/4,137.97
  6. Step 6: Final answer
    x = 3,689.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.